Self-similar solutions to the derivative nonlinear Schrodinger equation

被引：2
|
作者：
Fujiwara, Kazumasa [1 ]
Georgiev, Vladimir [2 ,3 ,4 ]
Ozawa, Tohru [5 ]
机构：
[1] Tohoku Univ, Math Inst, Aoba Ku, 6-3 Aoba, Sendai, Miyagi 9808578, Japan
[2] Univ Pisa, Dept Math, Largo Bruno Pontecorvo 5, I-56127 Pisa, Italy
[3] Waseda Univ, Fac Sci & Engn, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, Japan
[4] IMI BAS, Georgi Bonchev Str,Block 8, Sofia 1113, Bulgaria
[5] Waseda Univ, Dept Appl Phys, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, Japan
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 12期
关键词：
Derivative nonlinear Schrodinger equations; Self-similar solution; GLOBAL WELL-POSEDNESS; EXISTENCE;
D O I：
10.1016/j.jde.2019.11.089
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A class of self-similar solutions to the derivative nonlinear Schrodinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from the nonlinear interaction of profile functions. This is a remarkable difference from the pseudo-conformally invariant case, where the logarithmic correction comes from the linear part of the equations of the profile functions. (C) 2019 Elsevier Inc. All rights reserved.
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页码：7940 / 7961
页数：22
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